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SUBROUTINE SWDE (PGG,PREF,PRMUZ,PTO1,PW, |
module swde_m |
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S PRE1,PRE2,PTR1,PTR2) |
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use dimens_m |
IMPLICIT NONE |
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use dimphy |
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use raddim |
contains |
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IMPLICIT none |
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C |
SUBROUTINE swde(pgg, pref, prmuz, pto1, pw, pre1, pre2, ptr1, ptr2) |
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C ------------------------------------------------------------------ |
USE dimens_m |
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C PURPOSE. |
USE dimphy |
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C -------- |
USE raddim |
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C COMPUTES THE REFLECTIVITY AND TRANSMISSIVITY OF A CLOUDY |
! ------------------------------------------------------------------ |
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C LAYER USING THE DELTA-EDDINGTON'S APPROXIMATION. |
! PURPOSE. |
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C |
! -------- |
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C METHOD. |
! COMPUTES THE REFLECTIVITY AND TRANSMISSIVITY OF A CLOUDY |
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C ------- |
! LAYER USING THE DELTA-EDDINGTON'S APPROXIMATION. |
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C |
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C STANDARD DELTA-EDDINGTON LAYER CALCULATIONS. |
! METHOD. |
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C |
! ------- |
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C REFERENCE. |
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C ---------- |
! STANDARD DELTA-EDDINGTON LAYER CALCULATIONS. |
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C |
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C SEE RADIATION'S PART OF THE MODEL'S DOCUMENTATION AND |
! REFERENCE. |
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C ECMWF RESEARCH DEPARTMENT DOCUMENTATION OF THE IFS |
! ---------- |
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C |
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C AUTHOR. |
! SEE RADIATION'S PART OF THE MODEL'S DOCUMENTATION AND |
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C ------- |
! ECMWF RESEARCH DEPARTMENT DOCUMENTATION OF THE IFS |
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C JEAN-JACQUES MORCRETTE *ECMWF* |
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C |
! AUTHOR. |
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C MODIFICATIONS. |
! ------- |
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C -------------- |
! JEAN-JACQUES MORCRETTE *ECMWF* |
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C ORIGINAL : 88-12-15 |
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C ------------------------------------------------------------------ |
! MODIFICATIONS. |
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C* ARGUMENTS: |
! -------------- |
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C |
! ORIGINAL : 88-12-15 |
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DOUBLE PRECISION PGG(KDLON) ! ASSYMETRY FACTOR |
! ------------------------------------------------------------------ |
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DOUBLE PRECISION PREF(KDLON) ! REFLECTIVITY OF THE UNDERLYING LAYER |
! * ARGUMENTS: |
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DOUBLE PRECISION PRMUZ(KDLON) ! COSINE OF SOLAR ZENITH ANGLE |
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DOUBLE PRECISION PTO1(KDLON) ! OPTICAL THICKNESS |
DOUBLE PRECISION pgg(kdlon) ! ASSYMETRY FACTOR |
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DOUBLE PRECISION PW(KDLON) ! SINGLE SCATTERING ALBEDO |
DOUBLE PRECISION pref(kdlon) ! REFLECTIVITY OF THE UNDERLYING LAYER |
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DOUBLE PRECISION PRE1(KDLON) ! LAYER REFLECTIVITY (NO UNDERLYING-LAYER REFLECTION) |
DOUBLE PRECISION prmuz(kdlon) ! COSINE OF SOLAR ZENITH ANGLE |
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DOUBLE PRECISION PRE2(KDLON) ! LAYER REFLECTIVITY |
DOUBLE PRECISION pto1(kdlon) ! OPTICAL THICKNESS |
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DOUBLE PRECISION PTR1(KDLON) ! LAYER TRANSMISSIVITY (NO UNDERLYING-LAYER REFLECTION) |
DOUBLE PRECISION pw(kdlon) ! SINGLE SCATTERING ALBEDO |
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DOUBLE PRECISION PTR2(KDLON) ! LAYER TRANSMISSIVITY |
DOUBLE PRECISION pre1(kdlon) ! LAYER REFLECTIVITY (NO UNDERLYING-LAYER REFLECTION) |
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C |
DOUBLE PRECISION pre2(kdlon) ! LAYER REFLECTIVITY |
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C* LOCAL VARIABLES: |
DOUBLE PRECISION ptr1(kdlon) ! LAYER TRANSMISSIVITY (NO UNDERLYING-LAYER REFLECTION) |
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C |
DOUBLE PRECISION ptr2(kdlon) ! LAYER TRANSMISSIVITY |
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INTEGER jl |
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DOUBLE PRECISION ZFF, ZGP, ZTOP, ZWCP, ZDT, ZX1, ZWM |
! * LOCAL VARIABLES: |
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DOUBLE PRECISION ZRM2, ZRK, ZX2, ZRP, ZALPHA, ZBETA, ZARG |
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DOUBLE PRECISION ZEXMU0, ZARG2, ZEXKP, ZEXKM, ZXP2P, ZXM2P, ZAP2B |
INTEGER jl |
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DOUBLE PRECISION ZAM2B |
DOUBLE PRECISION zff, zgp, ztop, zwcp, zdt, zx1, zwm |
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DOUBLE PRECISION ZA11, ZA12, ZA13, ZA21, ZA22, ZA23 |
DOUBLE PRECISION zrm2, zrk, zx2, zrp, zalpha, zbeta, zarg |
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DOUBLE PRECISION ZDENA, ZC1A, ZC2A, ZRI0A, ZRI1A |
DOUBLE PRECISION zexmu0, zarg2, zexkp, zexkm, zxp2p, zxm2p, zap2b |
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DOUBLE PRECISION ZRI0B, ZRI1B |
DOUBLE PRECISION zam2b |
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DOUBLE PRECISION ZB21, ZB22, ZB23, ZDENB, ZC1B, ZC2B |
DOUBLE PRECISION za11, za12, za13, za21, za22, za23 |
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DOUBLE PRECISION ZRI0C, ZRI1C, ZRI0D, ZRI1D |
DOUBLE PRECISION zdena, zc1a, zc2a, zri0a, zri1a |
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C ------------------------------------------------------------------ |
DOUBLE PRECISION zri0b, zri1b |
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C |
DOUBLE PRECISION zb21, zb22, zb23, zdenb, zc1b, zc2b |
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C* 1. DELTA-EDDINGTON CALCULATIONS |
DOUBLE PRECISION zri0c, zri1c, zri0d, zri1d |
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C |
! ------------------------------------------------------------------ |
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100 CONTINUE |
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C |
! * 1. DELTA-EDDINGTON CALCULATIONS |
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DO 131 JL = 1, KDLON |
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C |
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C* 1.1 SET UP THE DELTA-MODIFIED PARAMETERS |
DO jl = 1, kdlon |
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C |
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110 CONTINUE |
! * 1.1 SET UP THE DELTA-MODIFIED PARAMETERS |
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C |
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ZFF = PGG(JL)*PGG(JL) |
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ZGP = PGG(JL)/(1.+PGG(JL)) |
zff = pgg(jl)*pgg(jl) |
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ZTOP = (1.- PW(JL) * ZFF) * PTO1(JL) |
zgp = pgg(jl)/(1.+pgg(jl)) |
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ZWCP = (1-ZFF)* PW(JL) /(1.- PW(JL) * ZFF) |
ztop = (1.-pw(jl)*zff)*pto1(jl) |
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ZDT = 2./3. |
zwcp = (1-zff)*pw(jl)/(1.-pw(jl)*zff) |
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ZX1 = 1.-ZWCP*ZGP |
zdt = 2./3. |
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ZWM = 1.-ZWCP |
zx1 = 1. - zwcp*zgp |
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ZRM2 = PRMUZ(JL) * PRMUZ(JL) |
zwm = 1. - zwcp |
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ZRK = SQRT(3.*ZWM*ZX1) |
zrm2 = prmuz(jl)*prmuz(jl) |
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ZX2 = 4.*(1.-ZRK*ZRK*ZRM2) |
zrk = sqrt(3.*zwm*zx1) |
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ZRP=ZRK/ZX1 |
zx2 = 4.*(1.-zrk*zrk*zrm2) |
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ZALPHA = 3.*ZWCP*ZRM2*(1.+ZGP*ZWM)/ZX2 |
zrp = zrk/zx1 |
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ZBETA = 3.*ZWCP* PRMUZ(JL) *(1.+3.*ZGP*ZRM2*ZWM)/ZX2 |
zalpha = 3.*zwcp*zrm2*(1.+zgp*zwm)/zx2 |
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CMAF ZARG=MIN(ZTOP/PRMUZ(JL),200.) |
zbeta = 3.*zwcp*prmuz(jl)*(1.+3.*zgp*zrm2*zwm)/zx2 |
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ZARG=MIN(ZTOP/PRMUZ(JL),2.0d+2) |
! MAF ZARG=MIN(ZTOP/PRMUZ(JL),200.) |
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ZEXMU0=EXP(-ZARG) |
zarg = min(ztop/prmuz(jl), 2.0D+2) |
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CMAF ZARG2=MIN(ZRK*ZTOP,200.) |
zexmu0 = exp(-zarg) |
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ZARG2=MIN(ZRK*ZTOP,2.0d+2) |
! MAF ZARG2=MIN(ZRK*ZTOP,200.) |
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ZEXKP=EXP(ZARG2) |
zarg2 = min(zrk*ztop, 2.0D+2) |
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ZEXKM = 1./ZEXKP |
zexkp = exp(zarg2) |
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ZXP2P = 1.+ZDT*ZRP |
zexkm = 1./zexkp |
90 |
ZXM2P = 1.-ZDT*ZRP |
zxp2p = 1. + zdt*zrp |
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ZAP2B = ZALPHA+ZDT*ZBETA |
zxm2p = 1. - zdt*zrp |
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ZAM2B = ZALPHA-ZDT*ZBETA |
zap2b = zalpha + zdt*zbeta |
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C |
zam2b = zalpha - zdt*zbeta |
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C* 1.2 WITHOUT REFLECTION FROM THE UNDERLYING LAYER |
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C |
! * 1.2 WITHOUT REFLECTION FROM THE UNDERLYING LAYER |
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120 CONTINUE |
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C |
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ZA11 = ZXP2P |
za11 = zxp2p |
99 |
ZA12 = ZXM2P |
za12 = zxm2p |
100 |
ZA13 = ZAP2B |
za13 = zap2b |
101 |
ZA22 = ZXP2P*ZEXKP |
za22 = zxp2p*zexkp |
102 |
ZA21 = ZXM2P*ZEXKM |
za21 = zxm2p*zexkm |
103 |
ZA23 = ZAM2B*ZEXMU0 |
za23 = zam2b*zexmu0 |
104 |
ZDENA = ZA11 * ZA22 - ZA21 * ZA12 |
zdena = za11*za22 - za21*za12 |
105 |
ZC1A = (ZA22*ZA13-ZA12*ZA23)/ZDENA |
zc1a = (za22*za13-za12*za23)/zdena |
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ZC2A = (ZA11*ZA23-ZA21*ZA13)/ZDENA |
zc2a = (za11*za23-za21*za13)/zdena |
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ZRI0A = ZC1A+ZC2A-ZALPHA |
zri0a = zc1a + zc2a - zalpha |
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ZRI1A = ZRP*(ZC1A-ZC2A)-ZBETA |
zri1a = zrp*(zc1a-zc2a) - zbeta |
109 |
PRE1(JL) = (ZRI0A-ZDT*ZRI1A)/ PRMUZ(JL) |
pre1(jl) = (zri0a-zdt*zri1a)/prmuz(jl) |
110 |
ZRI0B = ZC1A*ZEXKM+ZC2A*ZEXKP-ZALPHA*ZEXMU0 |
zri0b = zc1a*zexkm + zc2a*zexkp - zalpha*zexmu0 |
111 |
ZRI1B = ZRP*(ZC1A*ZEXKM-ZC2A*ZEXKP)-ZBETA*ZEXMU0 |
zri1b = zrp*(zc1a*zexkm-zc2a*zexkp) - zbeta*zexmu0 |
112 |
PTR1(JL) = ZEXMU0+(ZRI0B+ZDT*ZRI1B)/ PRMUZ(JL) |
ptr1(jl) = zexmu0 + (zri0b+zdt*zri1b)/prmuz(jl) |
113 |
C |
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C* 1.3 WITH REFLECTION FROM THE UNDERLYING LAYER |
! * 1.3 WITH REFLECTION FROM THE UNDERLYING LAYER |
115 |
C |
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130 CONTINUE |
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C |
zb21 = za21 - pref(jl)*zxp2p*zexkm |
118 |
ZB21 = ZA21- PREF(JL) *ZXP2P*ZEXKM |
zb22 = za22 - pref(jl)*zxm2p*zexkp |
119 |
ZB22 = ZA22- PREF(JL) *ZXM2P*ZEXKP |
zb23 = za23 - pref(jl)*zexmu0*(zap2b-prmuz(jl)) |
120 |
ZB23 = ZA23- PREF(JL) *ZEXMU0*(ZAP2B - PRMUZ(JL) ) |
zdenb = za11*zb22 - zb21*za12 |
121 |
ZDENB = ZA11 * ZB22 - ZB21 * ZA12 |
zc1b = (zb22*za13-za12*zb23)/zdenb |
122 |
ZC1B = (ZB22*ZA13-ZA12*ZB23)/ZDENB |
zc2b = (za11*zb23-zb21*za13)/zdenb |
123 |
ZC2B = (ZA11*ZB23-ZB21*ZA13)/ZDENB |
zri0c = zc1b + zc2b - zalpha |
124 |
ZRI0C = ZC1B+ZC2B-ZALPHA |
zri1c = zrp*(zc1b-zc2b) - zbeta |
125 |
ZRI1C = ZRP*(ZC1B-ZC2B)-ZBETA |
pre2(jl) = (zri0c-zdt*zri1c)/prmuz(jl) |
126 |
PRE2(JL) = (ZRI0C-ZDT*ZRI1C) / PRMUZ(JL) |
zri0d = zc1b*zexkm + zc2b*zexkp - zalpha*zexmu0 |
127 |
ZRI0D = ZC1B*ZEXKM + ZC2B*ZEXKP - ZALPHA*ZEXMU0 |
zri1d = zrp*(zc1b*zexkm-zc2b*zexkp) - zbeta*zexmu0 |
128 |
ZRI1D = ZRP * (ZC1B*ZEXKM - ZC2B*ZEXKP) - ZBETA*ZEXMU0 |
ptr2(jl) = zexmu0 + (zri0d+zdt*zri1d)/prmuz(jl) |
129 |
PTR2(JL) = ZEXMU0 + (ZRI0D + ZDT*ZRI1D) / PRMUZ(JL) |
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130 |
C |
END DO |
131 |
131 CONTINUE |
RETURN |
132 |
RETURN |
END SUBROUTINE swde |
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END |
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end module swde_m |